Hello from MrBillDoesMath!
Answer:
Choice B ( (x+6)/5) )
Discussion:
y = f(x) = 5x - 6
To solve for the inverse of f, replace "y" by "x" and "x" by "y" in the original equation. That is, solve for "y" in
x = 5y -6 => add 6 to both sides
x + 6 = 5y => divide both sides by 5
y = (x+6)/5
"y" above is the inverse, which is Choice B
Thank you,
MrB